Search a number
-
+
20204448 = 2531119253
BaseRepresentation
bin100110100010…
…0101110100000
31102000111021220
41031010232200
520133020243
62001015040
7333510045
oct115045640
942014256
1020204448
111044a9a0
126924480
1342554c4
14297d1cc
151b91783
hex1344ba0

20204448 has 144 divisors (see below), whose sum is σ = 62215776. Its totient is φ = 5690880.

The previous prime is 20204417. The next prime is 20204477. The reversal of 20204448 is 84440202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381190 + ... + 381242.

It is an arithmetic number, because the mean of its divisors is an integer number (432054).

Almost surely, 220204448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20204448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31107888).

20204448 is an abundant number, since it is smaller than the sum of its proper divisors (42011328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20204448 is a wasteful number, since it uses less digits than its factorization.

20204448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 20204448 is about 4494.9358171169. The cubic root of 20204448 is about 272.3635565280.

The spelling of 20204448 in words is "twenty million, two hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 53 57 66 76 88 96 106 114 132 152 159 176 209 212 228 264 304 318 352 361 418 424 456 528 583 608 627 636 722 836 848 912 1007 1056 1083 1166 1254 1272 1444 1672 1696 1749 1824 2014 2166 2332 2508 2544 2888 3021 3344 3498 3971 4028 4332 4664 5016 5088 5776 6042 6688 6996 7942 8056 8664 9328 10032 11077 11552 11913 12084 13992 15884 16112 17328 18656 19133 20064 22154 23826 24168 27984 31768 32224 33231 34656 38266 44308 47652 48336 55968 57399 63536 66462 76532 88616 95304 96672 114798 127072 132924 153064 177232 190608 210463 229596 265848 306128 354464 381216 420926 459192 531696 612256 631389 841852 918384 1063392 1262778 1683704 1836768 2525556 3367408 5051112 6734816 10102224 20204448